Assignment:
Q1. If f(x)=2x-3 and g(x)=x2+1, find each of the following:
a) f(g(2))
b) g(f(3))
Q2. Let f(x)=x2+2 and g(x)=square root of 1-x2.
a) Find the domain and range of f and g.
b) Are the functions of f g and g f defined?
Q3. Given F(x)=cubed root of x+5, find functions f and g such that F=f g. Explain the answer.
Provide complete and step by step solution for the question and show calculations and use formulas.